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MUCSI, V., AYUB, A.S., MUHAMMAD-SUKKI, F., ZULKIPLI, M., MUHTAZARUDDIN, M.N., SAUDI, A.S.M. and ARDILA-REY, J.A. 2020. Lighting protection methods for wind turbine blades: an alternative approach. Applied sciences [online], 10(6), article ID 2130. Available from: https://doi.org/10.3390/app10062130 Lighting protection methods for wind turbine blades: an alternative approach. MUCSI, V., AYUB, A.S., MUHAMMAD-SUKKI, F., ZULKIPLI, M., MUHTAZARUDDIN, M.N., SAUDI, A.S.M. and ARDILA-REY, J.A. 2020 This document was downloaded from https://openair.rgu.ac.uk
applied sciences Article Lightning Protection Methods for Wind Turbine Blades: An Alternative Approach Viktor Mucsi 1 , Ahmad Syahrir Ayub 1, * , Firdaus Muhammad-Sukki 1, * , Muhammad Zulkipli 2 , Mohd Nabil Muhtazaruddin 3 , Ahmad Shakir Mohd Saudi 4, * and Jorge Alfredo Ardila-Rey 5 1 School of Engineering, Robert Gordon University, The Sir Ian Wood Building, Riverside East, Garthdee Road, AB10 7GJ Aberdeen, UK; v.mucsi@rgu.ac.uk 2 Faculty of Engineering Technology, Universiti Tun Hussein Onn Malaysia, Pagoh Higher Education Hub, KM1, Jalan Panchor, Pagoh, Muar 84600 Johor, Malaysia; muhammad@uthm.edu.my 3 Razak Faculty of Technology and Informatics, Universiti Teknologi Malaysia, Jalan Sultan Yahya Petra, Kuala Lumpur 54100, Malaysia; mohdnabil.kl@utm.my 4 Universiti Kuala Lumpur-Institute of Medical Science Technology (UniKL MESTECH), A1-1, Jalan TKS 1, Taman Kajang Sentral, Kajang 43000, Selangor, Malaysia 5 Department of Electrical Engineering, Universidad Técnica Federico Santa María, Santiago de Chile 8940000, Chile; jorge.ardila@usm.cl * Correspondence: a.ayub2@rgu.ac.uk (A.S.A.); f.b.muhammad-sukki@rgu.ac.uk (F.M.-S.); ahmadshakir@unikl.edu.my (A.S.M.S.) Received: 30 January 2020; Accepted: 10 March 2020; Published: 20 March 2020 Abstract: Lightning strikes happens in a fraction of time, where they can transfer huge amounts of charge and high currents in a single strike. The chances for a structure to be struck by lightning increases as the height increases; thus, tall structures are more prone to lightning. Despite the existing lightning protection systems available for wind turbine blades, there are still many cases reported due to the fact of damage caused by lightning strike. Owing to that, the present work introduces a new approach for a lightning protection system for wind turbine blades where preliminary investigations were done using Analysis Systems (ANSYS) Workbench. Two models were developed: one with a conventional type down conductor system and the other with a hybrid conductor system. The recorded findings have been compared and discussed, where it was found that the hybrid conductor system may provide alternative protection from lightning for wind turbine blades. Keywords: lightning; lightning protection system; wind turbine blades; ANSYS workbench 1. Introduction Windmills have been around for centuries, operating as grain grinders and water pumps. The concept and technology behind windmills have been adapted to generate electricity, which in its new form is now called wind turbines (i.e., wind energy). Wind energy generation is now becoming one of the largest contributors to renewable energy generation, where the recent demand for renewable energy has seen its increasing growth in use as well as in physical size. In other words, wind turbines are getting taller, in order to accommodate the demand, by capturing wind through a larger blade swept area and converting it into electricity. Owing to this, wind turbines are now more prone to lightning strikes due to the fact of their increased structural height. There are approximately 2000 thunderstorms at any given minute and about 100 lightning strikes per second worldwide [1]. This creates great risk for tall structures, such as wind turbines, to be struck by lightning, where the average electric current from a lightning return stroke is 30 kA [1]. This massive flow of current can heat up the leader channel air to between 25,000 ◦ C and 30,000 ◦ C (around five Appl. Sci. 2020, 10, 2130; doi:10.3390/app10062130 www.mdpi.com/journal/applsci
Appl. Sci. 2020, 10, 2130 2 of 18 times the effective temperature of the sun) [1–3]. Lightning protection system (LPS) is composed of lightning receptor, down conductor, and grounding, and all elements must be well connected to pass the lightning current to Earth safely. Although wind turbines are installed with LPS, there are still cases where blades and whole turbines are destroyed due to the fact of lightning strikes. Considering the 20–25 year design life for wind turbine [3], it is worth safeguarding the turbines from lightning strikes, because the damage associated with it will cause the down time of the turbine operation, causing extra costs for maintenance and an shortage of electricity. This, therefore, may suggest a need for improving the existing lightning protection systems for wind turbine blades. 2. Lightning Discharges and Existing Lightning Protection Systems for Wind Turbine Mechanism of Lightning Discharge Lightning discharge from cloud to ground stems from a stepped leader initiated in a cloud and increases the electric field within its path. When a grounded object is in that electric field, it generates a leader towards the stepped leader, and it is called a connecting leader. If the downward moving leader has a negative charge, then the connecting leader is positive. If the downward leader is negative, then the connecting leader is positive [3]. As a stepped leader approaches ground level or the tip of the grounded structures, the electric field increases to such an extent that it discharges, and connecting leaders starts to propagate towards the downward leader in an attempt to connect, to equal the potential difference. Taller structures generate longer connecting leaders due to the field enhancement caused by the accumulation of positive charge on the structure [1,3,4]. The stepped leader channel is at cloud potential, approximately 50 MV [1,3–8] and with the final connecting jump, a near of ground potential travels along the channel in the direction of the cloud, which is called return stroke. The flow of charge generates a large current with an average peak of 30 kA [1,3] to 80 kA [1]. Due to the rapid generation of heat of around 30,000 K [1,3] in the channel, a pressure is created of 10 atm or above [3]. In some instances, new charges from the cloud forming another electrical discharge called dart leaders, creating subsequent return strokes with an average peak current of about 10–15 kA [1,3]. Most negative cloud-to-ground flashes contain more than one stroke, generally 3–4 [1] and, in major cases, the first stroke is usually 2–3 [3] times larger than the following subsequent strokes. On the other hand, occasionally in multiple stroke flashes there is at least one subsequent stroke which is greater than the first return stroke [3]. 3. Wind Turbine Blades and Its Protection Methods 3.1. Wind Turbines and Blades There are two main types of wind turbines on the market nowadays: vertical axis and horizontal axis turbines. Due to the lower efficiency, vertical axis turbines were not considered in this paper. Modern turbines are dominantly composed of horizontal axis models, since with rotor blade pitching, the speed of rotation and hence the power output can be controlled, and the blade aerodynamics can be optimized for maximum efficiency. In most cases, the three-blade model is used as it has the highest efficiency in ratio of the number of blades and their overall weight. At blade design, the actual shapes are very similar within commercial turbines, although, slightly differs by each manufacturer for the best possible aerodynamics according to company preferences [9]. Common characteristics are the hollow design, to reduce weight and the turnable rotor blade tip to help overspeed limitation [10]. Modern blades generally made of Fiber-Reinforces Composites such as carbon fiber and glass fiber with a matrix material of polyester resins or epoxy resins. Carbon fiber generally has good braking and elasticity characteristics, with stiffness not far from steel, although it is the most expensive material component among the possible choices. Also, in regards
Appl. Sci. 2020, 10, 2130 3 of 18 to lightning protection, it requires special considerations due to the fact of its material properties which are similar to a semiconductor, creating issues with lightning attachment and flashovers on the surface of the blade. Glass fiber, on the other hand, has lower ratings in almost all the characteristics mentioned before, but it is considerably cheaper, and it acts as an insulator. Manufacturers tend to use it with more expensive but high-quality epoxy resins to enhance the required physical properties of it [10,11]. Although, the blade is nonconductive, it still attracts lightning due to the fact of its height; therefore, lightning protection is necessary. 3.2. Lightning Protection in General Lightning protection systems for wind turbines are based on International Electrotechnical Commission (IEC) IEC 61400-24. According to this standard, the lightning protection levels (LPLs) have been set in accordance with the probability of minimum and maximum expected lightning currents, I to IV. The maximum protection, LPL I levels should not be exceeded with a probability of 99% for negative flashes, meanwhile, for positive flashes it is below 10% [12]. The parameters for LPL II and III–IV are the reduced values of LPL I by 75% and 50%, respectively. The rolling sphere method (RSM) was used to identify the locations of the air termination system on a given structure. The method assumes that there is a spherical region with a radius equal of the striking distance located around the tip of the oncoming lightning leader to a structure. Owing to that, the RSM method demonstrated on a wind turbine with 20 m radius (LPL I). This radius, r, is in relation to the peak current I of the first stroke. According to the IEEE, the equation is: r = 10I0.65 (1) There are many different proposals regarding the calculations of the radius for the rolling sphere in relation with the peak current, but the suggested values for each protection level are set by the standards [7] where for each LPL and radius, there is a corresponding minimum peak current value which, against the protection level, it gives protection. 3.3. Protection Methods for Blades There are four main types of lightning protection methods developed as recommended and outlined in IEC 61400-24 [7]. The methods are as follow: (a) receptors placed in the tip and an internal wire (i.e., conductor) is used to carry the current to the hub (b) metallic conductor placed around the edges to serve as termination and down conductor (c) metal mesh used on the side of the blade Regardless of the methods, the main function [12–14] of the lightning protection on the blades is: - Successful attachment of the lightning strike to a designated or preferred air termination or down conductor system to conduct the current safety without damaging the blades; - Provide passage for the lightning current through sufficient cross-section conductors, diverters, and air terminators to earth. Preventing damage to the system and minimizing the high level magnetic and electric field due to high currents; - Minimizing the high level of voltages induced and observed inside and outside of the turbine. With insulator-based materials blades, such as glass fiber composites, the conductors can be placed outside of the blade to divert lightning from the blade surface, also, can be placed inside, with air-terminations at specific point outside of the blade. When carbon fiber composites are used, a layer of conducting material is placed over it which can then carry the current to the blade root. With
Appl. Sci. 2020, 10, 2130 4 of 18 both cases, sliding connectors are used to carry the current from the blade to the hub towards the ground [12–14]. For the earth termination and down conductors, it has to carry the lightning current safely to the ground where common materials are aluminum, steel, and copper. In general, air termination and for down conductor, the cross-section of at least 50 mm2 is recommended [7,12–14]. 3.4. Lightning Damage to Wind Turbines and Blades According to many field observations and studies [15–18], wind turbines receive significant amounts of lightning attachments during their designed lifetime, mostly on rotor blades. The percentage distribution of damaged parts due to the lightning strike can be seen in Figure 3. The damages caused mostly from unsuccessful attachments on air terminations or from induced voltages from electric and electromagnetic fields. The highest percentage of damages occurred on the control system, although, on some cases, the damage were simple interruptions. Meanwhile the damage caused on blades are 11%, it often corresponds with severe damage. The damages associated with lightning are generally blade rupturing and burnout, wire melting, surface cracking and delamination, lightning receptor vaporization, and loss [19–25]. The most popular lightning protection model used nowadays for large turbines consist of an internal down conductor and metal receptors or air terminators penetrating the surface of the blade to serve as desired attachment points. These two systems are then connected together inside of the blade to carry the lightning current to earth. The receptors are installed at nearby the tip of the blade or placed at equal distance from each other alongside the blade from the root to the tip. One of the main issues with this type of protection is that since the receptors are small compared to the blade planform area, it decreases the efficiency of the attachment of the lightning, causing damage on the surface of the blade [21–25]. Considering the distribution of the lightning attachment and damage along the blade, it can be seen that majority of the attachment occurs at the tip, and the percentage decreases as the distance increasing from the end of the blade. As it can be seen, around 60% of the total damage was located in the last meter of the turbine blade, and 90% of the total damage occurred in the first 4 m [26]. Even though there are many different designs for the lightning protection of blades, there is still potential room for improvement. On the interception of the lightning to the air terminations to increase the effectiveness of the captured lightning flashes and on the down conduction part with the connections of different parts to conduct the current safely to earth. 3.5. Blade Model for Investigation The blade to be inspected was based on an existing model, currently the largest turbine on the market Vestas V164-9.5MW [9], at present, produced for offshore, although the company is in the process for an onshore model with similar dimensions [27]. For this study, the length of the blades was only considered for the simulation. Although their lightning protection systems are compliant with IEC 61400-24 standards, the exact lightning protection system employed by the blade’s manufacturer is not available in the public domain. However, as briefly discussed in Section 3.3, any wind turbine blades should be protected and complied as per methods proposed by IEC 61400-24 standards [7]. For a structure this size, approximately with a tip height around 200 m above sea level, the number of strikes can be estimated considering the lightning density in Europe (between 0.1 and 42 flashes per year per km2 ) [5,7]. The height of structure greatly affects the number of flashes predicted on the structure. Based on the regular expected turbine lifetime, what is generally predicted to be 20–25 year, it is very likely that the turbine will be hit at least once during its lifetime. Without any protection, the blade will most likely be destroyed. If the base cost lies between GBP 0.6–0.8 million per MW for an onshore turbine, and generally around 13% of these blades are [28], therefore, the estimated price for losing one blade would be roughly GBP 300,000 on the aforementioned model, not calculating the replacement, transportation,
Appl. Sci. 2020, 10, 2130 5 of 18 and power outage caused costs. From this, it is clear that wind turbines require adequate protection against lightning strike nevertheless of their location, since even if it is estimated with the lowest density, over the expected lifetime the turbine will be struck at least one or two times. 4. ANSYS Workbench Implementation 4.1. ANSYS Workbench Nowadays, engineering problems are becoming genuinely complex, relying only on theory, and. physical experiments are not practical anymore. Furthermore, deriving those with hand Appl. Sci. 2020, 10, 2130 calculations 5 of 18 are rather complex and time consuming. Analysis Systems (ANSYS) is one of the most reputable engineering4. software ANSYS Workbench analysisImplementation packages available on the market and is used by many companies and research facilities 4.1. ANSYS around Workbench the world. The software is based on finite element analysis (FEA) to solve complex problems in single or multiphysics environment. Nowadays, engineering problems are becoming genuinely complex, relying only on theory, and. The basic principle physical experiments of the method are not practicalis that the anymore. domain deriving Furthermore, or object iswith those divided into elements with hand calculations discretization. The distribution are rather complex and time of the elements consuming. is called Analysis mesh, Systems and the (ANSYS) points is one of theconnecting most reputable the elements are nodes. engineering When thesoftware mesh analysis packagesan is generated, available on theis equation market and is used generated forby manyelement each companies and regarding with research facilities around the world. The software is based on finite element analysis (FEA) to solve the solvablecomplex physics or method of analyzation. The elemental equation is than assembled to a global problems in single or multiphysics environment. equation to describe The basic theprinciple behavior ofmethod of the the body as the is that a whole domain[29]. or object is divided into elements with discretization. The distribution of the elements is called mesh, and the points connecting the elements 4.2. Blade and are Protection nodes. WhenImplementation the mesh is generated, an equation is generated for each element regarding with the solvable physics or method of analyzation. The elemental equation is than assembled to a global As briefly discussed equation to describeintheSections behavior of2 the and 3, the body wind[29]. as a whole turbine is a grounded structure, hence, the lightning current as a result of return stroke will then be passed safely to the ground through hub, 4.2. Blade and Protection Implementation nacelle, tower, and tower footing at the ground level. Hence, when lightning strike on the lightning As briefly discussed in Sections 2 and 3, the wind turbine is a grounded structure, hence, the receptor installed on a blade, the ground is elevated to the highest tip at the time of strike due to the lightning current as a result of return stroke will then be passed safely to the ground through hub, blade tip being at its nacelle, tower,highest point and tower at a time. footing Thus, level. at the ground this assumption is also used Hence, when lightning strike by many on the other lightning lightning researchersreceptor around the world installed [1,3,4,8,10,14,15,19,20,26] on a blade, the ground is elevated to the and alsotipfor highest thistime at the study. Owing of strike due to to thethat, single blade tip being blade was examined at its highest without point at a time. any attachment Thus,and to rotor this nacelle. assumption The is ANSYS also used Workbench by many otherversion 18.2 lightning researchers around the world [1,3,4,8,10,14,15,19,20,26] and also for this study. Owing to was used tothat, carry out the simulation of the lightning protection of blade. The available software license single blade was examined without any attachment to rotor and nacelle. The ANSYS Workbench was for Academic Research, version 18.2 was usedwhich to carryrestricts the meshing out the simulation of the node lightningnumber protectionto 300,000 which of blade. The corresponds to available around 40,000 elements software license depending on the was for Academic meshing Research, algorithm which restricts thechosen. meshingAs node it was numbermentioned to 300,000 earlier, the which corresponds to around 40,000 elements depending on the meshing algorithm chosen. As it was size base was taken from an existing model (Vestas V164-9.5 MW. The turbine had approximately 80 m mentioned earlier, the size base was taken from an existing model (Vestas V164-9.5 MW. The turbine long blades;hadinapproximately the model it 80 was m longextended blades; in slightly the model to represent it was extendedaslightly potential futurea size. to represent As shown in potential Figure 1, the hollow future size. blade design As shown can1,betheseen in Figure from hollow what blade designwas canmodelled be seen from inwhat ANSYS DesignModeler. was modelled in The ANSYS DesignModeler. The model measurements were 85 m long, 5 m model measurements were 85 m long, 5 m wide, 2.6 m depth, 10 times base-to-tip ratio, and 0.015 mwide, 2.6 m depth, 10 times base-to-tip ratio, and 0.015 m wall thickness. The current was applied at point A, meanwhile, points wall thickness. The current was applied at point A, meanwhile, points B and C were specified as 0 V. B and C were specified as 0 V. Figure 1. Wind turbine blade for simulation. Figure 1. Wind turbine blade for simulation.
Appl. Appl.Sci. 2020,10, Sci.2020, 10,2130 2130 66of of18 18 The blade material was chosen to be E-glass fiber-reinforced polyester with the necessary values The blade material was chosen to be E-glass fiber-reinforced polyester with the necessary values set manually [30,31] to serve as an insulator-type blade, the lightning conductor was set to the copper set manually [30,31] to serve as an insulator-type blade,2 the lightning conductor was set to the copper parameters taken from standards [12] with a 50 mm round cross-section as the minimal specified parameters taken from standards [12] with a 50 mm2 round cross-section as the minimal specified area. For evaluation, one of the recommended method by IEC 61400-24 [7] was considered where this area. For evaluation, one of the recommended method by IEC 61400-24 [7] was considered where this method was used previously for smaller turbines, although in this project, it was examined for larger method was used previously for smaller turbines, although in this project, it was examined for larger turbine blade. turbine blade. 4.3. Simulation 4.3. Simulation Setup Setup For the For the lightning lightning attachment attachment point, point, aa part part on on the the conductor conductor atat the the tip tip of of the theblade bladewas wasdefined defined (point A). (point A).InInthe theabsence absenceofofspecifying specifying ground, ground, 00voltage voltagewaswasapplied applied ononthetheconnecting connecting ends ends of of the the conductor (points B and C (Figure conductor (points B and C (Figure 1)). 1)). For simulation, For simulation, electric, electric, transient-thermal, transient-thermal, andand static static structural structural analysis analysis was was chosen chosen using using Mechanical APDL solver [32]. As shown in Figure 2, the applied mechanical APDL Mechanical APDL solver [32]. As shown in Figure 2, the applied mechanical APDL structure can be structure can be seen. By connecting the electric, thermal, and structural sections, it was possible to transfer seen. By connecting the electric, thermal, and structural sections, it was possible to transfer results results fromone from onestage stagetotoanother, another,creating creatingaacomplex complexsimulation simulationenvironment. environment. Figure 2. Simulation setup for the model. Figure 2. Simulation setup for the model. The first and subsequent return stroke current rise were implemented according to the current The first and subsequent return stroke current rise were implemented according to the current standards [12], with an additional ‘extreme’ level of first and subsequent return stroke and the effects standards [12], with an additional ‘extreme’ level of first and subsequent return stroke and the effects were observed over set amount of time as tabulated in Table 1. The ‘extreme’ level used referred to the were observed over set amount of time as tabulated in Table 1. The ‘extreme’ level used referred to highest recorded lightning peak current [2,5]. the highest recorded lightning peak current [2,5]. Table 1. Test parameters for simulations showing the extreme case for LPL [23]. Table 1. Test parameters for simulations showing the extreme case for LPL [23]. LPL Type of Stroke Test Parameter Unit LPL Type of Stroke Test Parameter Unit Extreme (0) Extreme (0) ∆i kA 300 First i kA 300 First ∆t µs 10 t µs 10 ∆i kA 75 Subsequent ∆t i µs kA 0.25 75 Subsequent t µs 0.25 The ambient temperature was set to 20 ◦ C, and the blade was set to be fixed at the base. For testing The ambient temperature was set to 20 °C, and the blade was set to be fixed at the base. For the proposed method, first, the cross-section of the down conductor area was set to the recommended testing the proposed method, first, the cross-section2 of the down conductor area was set to the 2 . Afterwards, as it has been minimum area which was then increased to 100 mm and to 200 mm recommended minimum area which was then increased to 100 mm and to 200 mm2. Afterwards, as 2 mentioned in many publications [4,26,33–35] and stated in the standards [7], lightning tends to attach it has been mentioned in many publications [4,26,33–35] and stated in the standards [7], lightning to the tip and to the close approximation of the blades. Therefore, to overcome the destructive heating tends to attach to the tip and to the close approximation of the blades. Therefore, to overcome the effect of the lightning, especially at the attachment point on the conductor, a hybrid conductor has destructive heating effect of the lightning, especially at the attachment point on the conductor, a been designed. This design consisted of two conductors with different diameters joined together. The hybrid conductor has been designed. This design consisted of two conductors with different larger diameter covered the tip of the blade and ran down at a specific distance from the tip towards diameters joined together. The larger diameter covered the tip of the blade and ran down at a specific distance from the tip towards the root. The joints of the two conductors could be welded or the whole
Appl. Sci. 2020, 10, 2130 7 of 18 the root. The joints of the two conductors could be welded or the whole conductor could be molded to achieve a better transition between the different thicknesses. In total, six case studies were examined with different diameters and a combination of conventional and hybrid methods: Conventional: A: Minimal protection level with 50 mm2 conductor cross-section area; Appl. Sci. 2020, 10, 2130 7 of 18 B: 100 mm2 conductor cross-section area; C: 200 mmconductor 2 conductor could be molded to achieve a better transition between the different thicknesses. In total, cross-section area. six case studies were examined with different diameters and a combination of conventional and Hybrid: hybrid methods: Conventional: D: Hybrid conductor design for tip; A: Minimal protection level with 50 mm2 conductor cross-section area; E: Hybrid conductor design, B: 100 mm 2 mcross-section 2 conductor on sides; area; F: Hybrid conductor design, C: 200 mm 2 5 mcross-section conductor on sides. area. Hybrid: D: Hybrid The parameters conductor design examined for tip; from the simulation models were: E: Hybrid conductor design, 2 m on sides; 1. Voltage at the attachment F: Hybrid point 5(V); conductor design, m on sides. The parameters examined from the simulation models were: 3 2. Maximum value of Joule heating in the conductor (MW/m ); 3. 1. Voltage Current densityatat thethe attachment point point attachment (V); (kA/m2 ); 2. Maximum value of Joule heating in the conductor (MW/m3); 4. Maximum temperature generated by Joule heating in the conductor (◦ C); 3. Current density at the attachment point (kA/m2); 5. Total4.deformation caused ongenerated Maximum temperature the bladeby due Joule to the heating heating effect (mm); in the conductor (°C); 5. Total deformation caused on the blade due to the heating effect (mm); In addition to the existing parameters, another probe was added to hybrid design at the joints of In addition to the existing parameters, another probe was added to hybrid design at the joints of the two conductors to follow the two conductors the change to follow in inthe the change thecurrent density: current density: 6. 6. Current Current densitydensity at joint at joint (kA/m 2 ). 2). (kA/m 5. Simulation Results and Discussion 5. Simulation Results and Discussion 5.1. Results from Conventional Case Studies 5.1. Results from Conventional Case Studies The graphical representation of the conventional design can be seen in Figure 3, where: The graphical representation • Current density in theof the conventional design can be seen in Figure 3, where: conductor; • Temperature generated by current; • Current density in the caused • Deformation conductor; by temperature. • Temperature generated by current; As the current from the lightning strike runs from the striking point towards ground (0 V), it • Deformation caused heats up the by and conductor temperature. the blade at the contact surfaces. Due to thermal expansion, the blade and the conductor experience force which causes deformation in both bodies. Figure 3. Graphical simulation results for conventional design; (a) 50 mm2 cross section area conductor, (b) 100 mm2 cross section area conductor; (c) 200 mm2 cross section area conductor.
Appl. Sci. 2020, 10, 2130 8 of 18 As the current from the lightning strike runs from the striking point towards ground (0 V), it heats up the conductor and the blade at the contact surfaces. Due to thermal expansion, the blade and the conductor experience force which causes deformation in both bodies. 5.1.1. Case Study A: Minimal Protection Level with 50 mm2 Conductor Cross-Section Area For first case, the conductor cross-section area was set to the minimal recommended 50 mm2 value where the results of first and subsequent strokes are tabulated in Table 2. Joule heating or resistive heating occurs when electric current passing through a conductor with resistance and it is proportional to the resistance of the conductor and square of the current [36]. The maximum Joule heating occurs close to the attachment point; therefore, the maximum temperature appears at the exact same location. Thus, the highest total deformation can be seen around the tip, where the current enters the conductor. Table 2. Results obtained from the first and subsequent return strokes for Case Study A. LPL 0 LPL I LPL II LPL III-IV First Strokes 300 kA 200 kA 150 kA 100 kA Voltage at striking point (V) 4360.3 2969.9 2180.2 1453.4 Maximum joule heating (MW/m3 ) 191,420 85,070 47,855 21,269 Current density at striking point (kA/m2 ) 823,240 548,830 411,620 274,410 Maximum temperature (◦ C) 608.98 282.88 168.74 87.22 Total deformation (mm) 47.725 2.1232 1.196 5.337 LPL 0 LPL I LPL II LPL III-IV Subsequent Strokes 75 kA 50 kA 37.5 kA 25 kA Voltage at striking point (V) 1090.1 726.72 545.04 363.36 Maximum joule heating (MW/m3 ) 11,964 5317.2 2991 1329.3 Current density at striking point (kA/m2 ) 205,810 137,210 102,910 68,604 Maximum temperature (◦ C) 58.686 38.305 31.172 26.076 Total deformation (mm) 0.3019 0.13632 0.078379 0.037002 5.1.2. Case Study B: 100 mm2 Conductor Cross-Section Area For this case, the conductor cross-section area was increased to 100 mm2 where the results are tabulated in Table 3 and it shown that the same parameters observed in Case Study A were decreasing as the cross-section area increases. This has been anticipated as the conductor cross-section increases, it decreases the resistance, therefore the heating and deformation as well. Table 3. Results obtained from the first and subsequent return for Case Study B. LPL0 LPL I LPL II LPL III-IV First Strokes 300 kA 200 kA 150 kA 100 kA Voltage at striking point (V) 1937.9 1292 968.97 645.98 Maximum joule heating (MW/m3 ) 39,689 17,639 9922.1 4409.8 Current density at striking point (kA/m2 ) 407,620 271,700 203,810 135,870 Maximum temperature (◦ C) 149.31 78.583 53.828 36.146 Total deformation (mm) 0.79158 0.35234 0.19862 0.08883 LPL 0 LPL I LPL II LPL III-IV Subsequent Strokes 75 kA 50 kA 37.5 kA 25 kA Voltage at striking point (V) 484.49 322.99 242.24 161.5 Maximum joule heating (MW/m3 ) 2480.5 1102.5 620.13 276.1 Current density at striking point (kA/m2 ) 101,900 68,936 50,952 33,968 Maximum temperature (◦ C) 29.957 25.536 23.989 23.081 Total deformation (mm) 0.0504 0.02311 0.01364 0.00714 5.1.3. Case Study C: 200 mm2 Conductor Cross-Section Area For this case, the cross-section of the lightning conductor was further increased to 200 mm2 . As was expected, the resulting values further decreased as the cross-section increased (Table 4).
Appl. Sci. 2020, 10, 2130 9 of 18 Appl. Sci. 2020, 10, 2130 5.1.3. Case Study C: 200 mm2 Conductor Cross-Section Area 9 of 18 For this case, the cross-section of the lightning conductor was further increased to 200 mm2. As was expected, the resulting values further decreased as the cross-section increased (Table 4). Table 4. Results obtained from the first and subsequent return strokes for Case Study C. Table 4. Results obtained from the first and subsequent return strokes for Case Study C. LPL0 LPL I LPL II LPL III-IV First Strokes 300 kA LPL0 200 kA LPL I LPL 150 II kA LPL III-IV100 kA First Strokes Voltage at striking point (V) 1090 300 kA 200 kA 726.66 150 kA545 100 kA 363.33 Maximum jouleVoltage heatingat striking (MW/m 3 ) point (V) 13,389 1,090 726.66 5950.8 545 3347.3 363.33 1487.7 Current densityMaximum at striking point (kA/m2 )(MW/m3) 302,270 joule heating 13,389 201,510 5,950.8 151,130 3,347.3 1,487.7 100,760 Maximum temperature ◦ C) Current density at( striking 65.017 point (kA/m 2) 302,270 41.118 201,510 32.754 151,130 100,760 26.78 Total deformation Maximum (mm)temperature (°C) 0.27567 65.017 0.13922 41.118 0.079422 32.754 26.78 0.036739 Total deformation (mm) LPL 0 0.27567 LPL I 0.13922 LPL 0.079422 II LPL III-IV 0.036739 Subsequent strokes 75 kA LPL 0 50 kA LPL I LPL37.5 II kA LPL III-IV25 kA Subsequent strokes Voltage at striking point (V) 181.67 75 kA 136.25 50 kA 37.590.833 kA 25 kA 181.67 3 371.93 Maximum jouleVoltage heatingat (MW/m striking) point (V) 181.67 209.21 136.25 92.982 90.833 181.67 371.93 Current density at striking point (kA/m2 ) 50,378 37,784 25,189 50,378 Maximum joule heating (MW/m3) 371.93 209.21 92.982 371.93 Maximum temperature (◦ C) 23.195 23.08 23.069 23.195 Current Total density deformation at striking point (kA/m (mm) 2) 0.01129 50,378 0.00769 37,784 25,189 0.00523 50,378 0.01129 Maximum temperature (°C) 23.195 23.08 23.069 23.195 Total deformation (mm) 0.01129 0.00769 0.00523 0.01129 5.2. Results from Hybrid Case Studies 5.2. Results from Hybrid Case Studies Observing the previously acquired results, the conductor design was constructed to decrease the Observing the previously acquired results, the conductor design was constructed to decrease effects caused by the lightning stroke. By increasing the diameter of the conductor at the tip of the the effects caused by the lightning stroke. By increasing the diameter of the conductor at the tip of blade, shouldthedecrease the blade, should impact decrease the of theofcurrent impact ononthe the current body. the body. TheThe following following three three cases havecases been have been developed anddeveloped examinedand examined with different with different length length ofofthe the increased increased area conductor area as depicted conductor in Figure in Figure 4. as depicted 4. Figure 4. Hybrid conductor designs; (a) thicker conductor for tip, (b) thicker conductor for tip with 2 m on sides, (c) thicker conductor for tip with 5 m on sides. 5.2.1. Case Study D: Hybrid Conductor Design for Tip In this case, the conductor cross-section area at the tip of the blade has been increased to 100 mm2 , meanwhile the rest of the conductor has been left at the minimum recommended value. Assuming that the change in diameter of the attachment area, the impact of the lightning strike attached on the conductor reduced as anticipated where results as tabulated in Table 5. 5.2.2. Case Study E: Hybrid Conductor Design, 2 m Sides In the second case for the hybrid strategy, the length of the thicker conductor increased for 2 m on the sides of the blade, this hypothetically should further decrease the effects caused by the lightning strike. The results are tabulated in Table 6.
Appl. Sci. 2020, 10, 2130 10 of 18 Table 5. Results obtained from the first and subsequent return strokes for Case Study D. LPL0 LPL I LPL II LPL III-IV First Strokes 300 kA 200 kA 150 kA 100 kA Voltage at striking point (V) 4354.3 2902.8 2177.7 1451.4 Maximum joule heating (MW/m3 ) 341,640 151,840 85,411 37,961 Current density at striking point (kA/m2 ) 1,091,100 727,370 545,530 363,690 Maximum temperature (◦ C) 547.52 255.56 153.38 80.391 Total deformation (mm) 4.5937 2.043 1.502 0.5125 Current density at joints (kA/m2 ) 2,715,500 1,810,400 1,357,800 905,180 LPL 0 LPL I LPL II LPL III-IV Subsequent Strokes 75 kA 50 kA 37.5 kA 25 kA Voltage at striking point (V) 1088.6 725.71 544.28 362.85 Maximum joule heating (MW/m3 ) 21,353 9490.1 5338.2 2372.5 Current density at striking point (kA/m2 ) 272,760 181,840 136,380 90,922 Maximum temperature (◦ C) 54.845 36.598 30.211 25.649 Total deformation (mm) 0.2893 0.1299 0.0741 0.0343 Current density at joints (kA/m2 ) 678,890 452,590 339,440 263,000 Table 6. Results obtained from the first and subsequent return strokes for Case Study E. LPL0 LPL I LPL II LPL III-IV First Strokes 300 kA 200 kA 150 kA 100 kA Voltage at striking point (V) 2773.4 1848.9 1386.7 924.45 Maximum joule heating (MW/m3 ) 66,067 29,363 16,517 7340.8 Current density at striking point (kA/m2 ) 844,930 563,290 422,470 281,640 Maximum temperature (◦ C) 237.15 117.62 75.788 45.906 Total deformation (mm) 1.355 0.6034 0.3404 0.1525 Current density at joints (kA/m2 ) 2,072,100 1,381,400 1,036,100 690,700 LPL 0 LPL I LPL II LPL III-IV Subsequent Strokes 75 kA 50 kA 37.5 kA 25 kA Voltage at striking point (V) 693.34 462.23 346.67 23.11 Maximum joule heating (MW/m3 ) 4129.2 1631.3 1032.3 458.8 Current density at striking point (kA/m2 ) 211,230 140,820 105,620 70,411 Maximum temperature (◦ C) 35.447 27.978 25.362 23.494 Total deformation (mm) 0.0867 0.0398 0.0234 0.0118 Current density at joints (kA/m2 ) 518,030 345,350 259,010 172,680 5.2.3. Case Study F: Hybrid Conductor Design, 5 m Sides The thicker portion of the conductor has been further increased to 5 m on each side of the tip of the blade, in theory, further reducing the recorded values where results are tabulated in Table 7. Table 7. Results obtained from the first and subsequent return strokes for Case Study F. LPL0 LPL I LPL II LPL III-IV First Strokes 300 kA 200 kA 150 kA 100 kA Voltage at striking point (V) 2691.2 1794.1 1345.6 897.06 Maximum joule heating (MW/m3 ) 64,236 28,549 16,059 7137.3 Current density at striking point (kA/m2 ) 495,610 330,410 247,800 165,200 Maximum temperature (◦ C) 218.42 115.85 74.788 45.461 Total deformation (mm) 1.216 0.5420 0.3061 0.1376 Current density at joints (kA/m2 ) 1,999,800 1,333,200 999,910 666,610 LPL 0 LPL I LPL II LPL III-IV Subsequent Strokes 75 kA 50 kA 37.5 kA 25 kA Voltage at striking point (V) 672.8 488.53 336.4 224.27 Maximum joule heating (MW/m3 ) 4014.7 1784.3 1003.7 446.08 Current density at striking point (kA/m2 ) 123,900 82,601 61,951 41,301 Maximum temperature (◦ C) 35.197 27.865 25.299 23.466 Total deformation (mm) 0.0787 0.0366 0.0218 0.0114 Current density at joints (kA/m2 ) 499,960 333,300 249,980 166,650
Maximum joule heating (MW/m3) 4,014.7 1,784.3 1,003.7 446.08 Current density at striking point (kA/m2) 123,900 82,601 61,951 41,301 Maximum temperature (°C) 35.197 27.865 25.299 23.466 Total deformation (mm) 0.0787 0.0366 0.0218 0.0114 Appl. Sci. 2020, 10, 2130 11 of 18 Current density at joints (kA/m2) 499,960 333,300 249,980 166,650 5.3. Discussion 5.3. Discussion 5.3.1. Conventional Cases 5.3.1. Conventional Cases (A, (A, B, B, and and C) C) Based Based on on the the simulation simulation results results on on the the conventional type conductor conventional type conductor tabulated tabulated in in Tables Tables 2–4, 2–4, the the current density at the attachment point and total deformation (highest value at current density at the attachment point and total deformation (highest value at the tip of the blade) the tip of the blade) plot plot cancan be be seen seen onon Figure Figure 5. Comparing the 5. Comparing the graphs, graphs, it it can can be be seen seen that that increasing increasing the the diameter diameter of of the the conductor reduces the value of current density and the amount of deformation conductor reduces the value of current density and the amount of deformation produced on the blade produced on the blade as 2 and as itit can canbe beexpected. expected.Although, Although,further furtherinspecting inspectingthethe results, thethe results, difference between difference the 100 between the mm100 mm 2 the 200 mm 2 cross-section area was less significant (34.8%) than the difference between the 50 mm2 and the 200 mm cross-section area was less significant (34.8%) than the difference between the 50 2 and 2 mm2100 andmm 100 (101.9%). Increasing mm2 (101.9%). the diameter Increasing of the of the diameter conductor implied the conductor better results implied or lower better results orvalues, lower although values, although it was not linear compared to the change in diameter. Evaluating the resultsto it was not linear compared to the change in diameter. Evaluating the results leads the leads assumption that thethat 100the mm 2 to the assumption 100cross-section area produced mm2 cross-section the bestthe area produced results among among best results the testedthevalues tested according to the given LPL, considering the weight and cost of the usable material. values according to the given LPL, considering the weight and cost of the usable material. Similar Similar correlations can be seen on correlations canthe begraphs seen onfrom the restfrom the graphs of thethe results rest ofinthe Figure A1 in results (Appendix Figure A1.A). Figure 5. Figure 5. Current Currentdensity density(left) and (left) total and deformation total of the deformation blade of the (right) blade for the (right) for conventional case the conventional studies. case studies. Appl. Sci. 2020, 10, 2130 12 of 18 5.3.2.Cases 5.3.2. Hybrid Hybrid(D, Cases E, (D, andE, F) and F) As shown in Figure 6, the graphical representation of the simulation results can be seen for Case As shown in Figure 6, the graphical representation of the simulation results can be seen for Case E. E. Figure 6. Graphical Figure 6.simulation results, hybrid Graphical simulation designdesign results, hybrid (case(case study E);E); study (a)a)current densityinin current density thethe conductor, (b) temperatureconductor, generated b) temperature by current,generated by current,caused (c) deformation c) deformation caused by temperature by temperature. Based on the data tabulated in Tables 5–7, Figure 7 plotted the different current densities at different points comparing three different hybrid cases. When diameters increased, the current density reduced in the conductor as well as heating and deformation in the blade. On the other hand, at the joints of the two types of conductor, there was still an increment that could still be seen. Comparing the values of the three designs indicates that the tip only version reduces the effects of the stroke at the attachment point the least, although increasing the length of the higher diameter
Appl. Sci. 2020, 10, 2130 12 of 18 Figure 6. Graphical simulation results, hybrid design (case study E); a) current density in the conductor, b) temperature generated by current, c) deformation caused by temperature Based on the data tabulated in Tables 5–7, Figure 7 plotted the different current densities at different points Based on comparing three different the data tabulated in Tableshybrid 5–7,cases. Figure When diameters 7 plotted increased, the different the current current density densities at reduced differentinpoints the conductor comparingas well threeasdifferent heating and deformation hybrid cases. Whenin the blade. Onincreased, diameters the other the hand, at the current joints of the density two types reduced in theof conductor, conductor thereaswas as well still an heating and increment deformationthatincould still be the blade. seen. On Comparing the other hand, the at the joints of the two types of conductor, there was still an increment that could still be stroke values of the three designs indicates that the tip only version reduces the effects of the seen. atComparing the attachment pointof the values the theleast, threealthough increasingthat designs indicates thethe length of the tip only higherreduces version diameterthe conductor effects of reduces the at the stroke current density at point the attachment both thethe attachment least, althoughpointincreasing and at joint. the The lengthincrease of theinhigher current density diameter between conductor thereduces attachment point and the current the joint, density for case at both D, case E, and the attachment pointcase and F with 148.9%, at joint. The 145.2%, increaseandin current respectively, 303.5%, density between thusthe attachment the point and possible damage theto due joint, the for case D, current case E,in flowing and thecase F with down 148.9%, conductors. 145.2%, This and 303.5%, suggests that the respectively, most efficientthus waythe possible the to improve damage due tobe LPS would thetocurrent increaseflowing in the the overall down diameter ofconductors. This suggests that the most efficient way to improve the LPS would be to increase the the whole conductor. overall diameter of the whole conductor. Figure 7. Figure 7. Current Current density density of of hybrid hybrid case case studies. studies. Appl. Sci. 2020, 10, 2130 13 of 18 As shown in Figure As shown 8, on in Figure 8, the left,left, on the thethe maximum maximumtemperature temperature of thetheblade, blade,which which was was measured at measured conductor joints and at conductor on the joints andright theright on the totalthe deformation causedcaused total deformation on theonblade, wherewhere the blade, the highest measured the highest value measured was at the value tip ofwasthe at blade. the tip of the blade. It shows thatIt there showswas that no there was no significant significant reductionreduction in in temperature temperature and deformation between the 2 m and 5 m type (8% for and deformation between the 2 m and 5 m type (8% for temperature and 11.4% for deformation), temperature and 11.4% for deformation), although, the maximum temperature point moved from the area of attachment point although, the maximum temperature point moved from the area of attachment point to the joints of to the joints of the two conductor. Comparing the three tested designs’ results, the 2 m long conductor the two conductor. Comparing the three tested designs’ results, the 2 m long conductor is suggested to is suggested to be the most sufficient of all, considering the amount of material involved and the be theimprovement most sufficient of all, considering in temperature, the amount thus reduction of material in deformation involved too. The andresults rest of the the improvement can be seen in temperature, thus in Figure A2. reduction in deformation too. The rest of the results can be seen in Figure A2. 8. Maximum FigureFigure temperature 8. Maximum temperature (left) andtotal (left) and total deformation deformation of theofblade the blade (right) (right) for the for the hybrid hybrid case studies. case studies. 5.3.3. Conventional and Hybrid As shown in Figure 9, on the left, the maximum temperature of the blade, meanwhile on the right, the total deformation caused on the blade, where the highest measured value was at the tip of the blade. It can be seen that both the B and E cases performed better compared to the minimal conductor cross-section area in terms of temperature increment and blade deformation. For LPL 0,
Figure Appl. Sci. 2020,8.10,Maximum 2130 temperature (left) and total deformation of the blade (right) for the hybrid case 13 of 18 studies. 5.3.3. 5.3.3. Conventional and Hybrid As As shown shown in in Figure Figure 9,9, on on the the left, left, the the maximum maximum temperature temperature ofof the the blade, blade, meanwhile meanwhile on on the the right, right, the total deformation caused on the blade, where the highest measured value was at the tiptip deformation caused on the blade, where the highest measured value was at the of of thethe blade. blade. It can It can bebe seenthat seen thatboth boththe theBBandandEE cases cases performed performed better better compared compared to the minimal minimal conductor conductor cross-section cross-sectionarea areaininterms termsofoftemperature temperature increment incrementandand blade deformation. blade For For deformation. LPLLPL0, the 0, temperature difference between Case B and A was 459.67 ◦ C (307.86%), meanwhile between Case E the temperature difference between Case B and A was 459.67 °C (307.86%), meanwhile between Case and AA it was 371.83 ◦ E and it was 371.83C°C(156.79%), (156.79%),furthermore, furthermore,the thetemperature temperaturedifference differencebetween betweenCase CaseBBand and EE is is 87.74 ◦ C. Furthermore, 87.74 °C. Furthermore, the temperature temperature increase is is linearly linearly proportional proportional to to the the deformation deformation and and the the changes changes for for deformation deformation are are nearly nearly identical. identical. Figure Maximumtemperature Figure 9. Maximum temperature(left) (left)and andtotal total deformation deformation (right) (right) of the of the blade blade atB,A,and at A, B, and E E case case studies. studies. Comparing Cases B and E, the results showed that Case B suggests the most effective conductor design in terms of temperature and displacement, also the other measured parameters. 5.3.4. Summary Comparing results obtained from Case Studies, it can be deduced that the most efficient way of increasing the efficiency of the protection of a wind turbine blade is to increase the diameter of the down conductor. However, it will be compromised due to the actual cost of the extra material, the weight increasement and the possible effects on the airfoil of the blades as these factors are the most crucial in blade design. Furthermore, applying Case E to a modern turbine blade could potentially reduce the effects of the heat and deformation because it only requires small portion of the conductor in the tip region. In general, most turbines are glued together at the leading and trailing edge to reduce the manufacturing costs, this brings an issue since the down conductors placed along these lines. As the current heats up the conductor, this could possibly melt the applied glue material causing severe damage which may cause blade to separate. As to potentially alleviate this, it would be possible to implement the hybrid conductor design for the blade lightning protection. 6. Conclusions, Recommendations for Future Works 6.1. Conclusions Lightning protection is an important aspect of wind energy, since over the expected lifetime of a turbine; at least once a lightning will hit it. Due to the enormous amount of current, without proper protection, it is most likely to result failure to turbine and will cause high repair costs. The protection methods and levels are proposed by standards to achieve the minimal protection suggested, although this protection cannot be taken as guarantee for all cases. As wind turbines keep increase in size to
Appl. Sci. 2020, 10, 2130 14 of 18 keep up with the generation demand, as the chance increases, of being hit by a lightning due to their elevation from ground level. In this paper, a conventional lightning protection concept, previously used for smaller turbine models has been evaluated for possible use for large blades. For the task, simulation software, ANSYS Workbench, Mechanical APDL has been used. In the first three case studies, different conductor cross-section areas have been set for conventional design for full length of the conductor. For the second half of the case studies a hybrid conductor model was evaluated. This design consists of two conductors with different diameters joined together. The higher diameter one covered the tip of the blade and ran down at specific distance from the tip towards the root. The lightning parameters was set according to the current standards, with and additional extreme first and subsequent return stroke current amplitude. Comparing the simulation outcomes has been showed that Case Study C indicated the most promising results among all. In the other hand considering the weight and cost of the extra material, also the possible aerodynamical effects of the conductor around the blade, Case Study E has been appeared to be the most adequate alternative. The design shows great improvement in reducing the lightning caused effects, compared to Case Study A, therefore the possible damage on the blade. Furthermore, it only requires simple modification of the existing lightning protection concept, minimizing the associated costs, weight, and the possible disturbance in the aerodynamics of the blade. 6.2. Recommendations for Future Work There are still many factors and values that should be evaluated in order to give full understanding and clarification of the proposed design. • One possible future work could include the examination of electromagnetic forces and waves generated by the current, since those were excluded from the simulation due to missing Mechanical APDL functions (electromagnetic analysis system). • There are possible incorrect, unrealistic values presented in this work due to the potential misconfiguration of simulation physics in the absence of relatable guide. • The software used had limited solver size due to academic license; therefore, the mesh of the objects had to be left coarse, meaning less accurate and possible differences in expected and real life values. • The design and therefore the investigation could be extended to model a complete turbine to see the effects on the whole structure. • The exact length of the increased diameter conductor could be evaluated in the ratio of the size of the blade; therefore, the proposed design could be implemented on various size blades with maximum efficiency. • A comparison could be made with existing blade LPS what is used on large blades nowadays to estimate the efficiency of both designs. Author Contributions: Conceptualization, A.S.A.; Data curation, A.S.A.; Formal analysis, V.M.; Funding acquisition, F.M.-S., A.S.M.S. and J.A.A.-R.; Investigation, V.M. and A.S.A.; Methodology, A.S.A.; Resources, A.S.A.; Software, A.S.A.; Supervision, A.S.A.; Validation, A.S.A.; Visualization, A.S.A. and F.M.-S.; Writing—original draft, V.M.; Writing—review and editing, V.M., A.S.A., F.M.-S., M.Z., M.N.M., A.S.M.S. and J.A.A.-R. All authors have read and agreed to the published version of the manuscript. Funding: Part of the work presented in this research study funded by the Agencia Nacional de Investigación y Desarrollo (through the project Fondecyt regular 1200055 and the project Fondef ID19I10165), project PI_m_19_01 (UTFSM) and by Universiti Kuala Lumpur under the Short Term Research Grant (STRG) STR18022. Conflicts of Interest: The authors declare no conflict of interest.
A.S.A.; Software, A.S.A.; Supervision, A.S.A.; Validation, A.S.A.; Visualization, A.S.A. and F.M.-S.; Writing— original draft, V.M.; Writing—review and editing, V.M., A.S.A., F.M.-S., M.Z., M.N.M., A.S.M.S. and J.A.A.-R. All authors have read and agreed to the published version of the manuscript. Funding: Part of the work presented in this research study funded by the Agencia Nacional de Investigación y Desarrollo (through the project Fondecyt regular 1200055 and the project Fondef ID19I10165), project Appl. Sci. 2020, 10, 2130 15 of 18 PI_m_19_01 (UTFSM) and by Universiti Kuala Lumpur under the Short Term Research Grant (STRG) STR18022. Conflicts of Interest: The authors declare no conflict of interest. Appendix A Appendix Figure Figure A1. A1. Plotted Plotted results results from from conventional simulations. conventional simulations.
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